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Finding the Fourth Proportional to 405.96, 609.34 and 233.42

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Solution

The fourth proportional to 405.96, 609.34 and 233.42 is: 350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.96 : 609.34 = 233.42 : x
  2. Step 2: Convert to fraction form
    405.96/609.34 = 233.42/x
  3. Step 3: Cross multiply
    405.96x = 609.34 × 233.42
  4. Step 4: Simplify right side
    405.96x = 142,232.14
  5. Step 5: Solve for x
    x = 142,232.14/405.96
  6. Step 6: Final answer
    x = 350.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.